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Algebra

Whole number and polygon

Task1 some whole numbers can be written as the sum of consecutive whole numbers. for example: 5=2+3 12=3+4+5 some whole numbers can be written as the sum of consecutive whole numbers in more than one way. for example: 9=4+5=2+3+5 which whole numbers can be written as the sum of consecutive whole numbers? can they

Mass and Volume of Materials Needed for Access Road

An access road with total length of 60.450m, and a width of 5.235m, is to be built. The sub-base for the road is to have a thickness, when compacted,of 225mm. Assuming the material to be used is tested in laboratory was 2391 Kg/m3, determine the quantity of material, in tonnes.

Dodecahedron problem irreducible

Consider the action of the group A_5 on the faces of a dodecahedron. Decompose the corresponding representation of A_5 into a sum of irreducibles and solve the problem by diagonilizing the interwining operator.

Returned the same distance against the wind in 3.5 hours.

An airplane flew with the wind for 2.5 hours and returned the same distance against the wind in 3.5 hours. If the cruising speed of the plane was a constant 360 mph in air, how fast was the wind blowing? (Hint: If the wind speed is r miles per hour, then the plane travels at (360 + r) mph with the wind and at (360 - r)mph aga

Equality

In a basketball game scrimmage, the Toros scored a total of 103 points and made three times as many field goals (2 points each) as free throws (1 point each). They also made eleven 3 point baskets. How many field goals and free throws were made?

Word problem - intersection Equalities

A motor home a leaves a rally and travels west going 80mph, Motorhome B leaves 2 hours before and travels westbound going 60mph. When will the two motorhomes pass each other?

Intersection of cars

Students are traveling in two cars to a football game 135 miles away. The first car leaves on time at an average speed of 45 mph. The second car starts 30 minutes later at an average speed of 55 mph. How long will it take for the second car to catch up to the first car? Will the second car catch the first car before it arriv

Word problem - speed equalities

On the first part of a 317 mile trip, Leah averaged 58 miles per hour. She averaged only 52 mph on the last part of the trip because of an increased volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time that Leah spent driving each speed.

Bases And Floating Points

1. Do the following by hand a) Convert to base 10 (11001.101)_2 b) Convert to base 2 (2005)_10 2. The floating point representation of a real number is x = ± (-.d_1d_2 . . . d_n)_B B^e where d_1 ≠ 0, -M ≤ e ≤ M. Suppose that B = 2, n = 7, M = 3. a) find the smallest (positive) and largest floating point numbers

Simple Statistics word problem - 100 soldiers are required...

As a test 100 soldiers are required to complete 9 weeks of training 18 percent of them fail due to the short period of 9 weeks. If 2 more weeks are added, what would be the percentage of failures? Feel free to answer in an attachment if needed. I need to see how to solve this type problem in a statistical manner. You may a

Application Problems: Velocity, Distance and Cost of Production

A 40,000 lb. rocket is launched from sea level straight up, then falls back to earth. The total flight time was 160 seconds. The rocket reached it's apex in 1 minute and 20 seconds. What altitude did the rocket reach before falling back to earth....in miles? The assembly operation takes two minutes for an operator to perform

Application Word Problems: Velocity and Distance

An object is thrown horizontally from the top of a building from an elevation of 64 feet above ground level. The velocity of the object is 56 miles per hour. How far, horizontally will the ball travel before reaching the ground? A. less than 170 feet. B. less than 160 feet. C. Each of the above D. None of the above A

Word Problem: Payments at Milestones

The word problem below was given to me to answer but I am stumped! #1,2,3 and 4 (below) were given to me as possible answers but I can't seem to make one fit? Can someone help? A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is comple

Arithmetic sequence

How do I find the 40th term of the arithmetic sequence knowing the general term An=(Asubscript n -1)n-3? The first term in A1=9

Solving a quartic equation

I can not factor or group this to set it equal to zero to determine the solution. Can you help me? 4x^4-65x^2+16=0

Fixing a Budget

This is a sample budget prepared by Dick and Jane who are both employed. Dick is paid weekly and brings home a check for $350.00 each week. Jane is paid every two weeks and brings home a check for $500.00 each pay day. Jane sometimes receives an additional amount for paid overtime and Dick receives a bonus from time to time.

Solve by the elimination method

Solve by the elimination method. -------------------------------------------------------------------------------- Solution 2x+3y=4 10x-6y=3 than I multiplying the first equation by 10 and the second equation by -2. 20x+30y=4 <= should be 40 -20x+12y=-6 =>42y=34 => y=17/21, x=11/14 how do I solve for (x

Solve by the elimination method.

Solve by the elimination method. -------------------------------------------------------------------------------- Solution 2x+3y=4 10x-6y=3 than I multiplying the first equation by 10 and the second equation by -2. 20x+30y=4 <= should be 40 -20x+12y=-6 =>42y=34 => y=17/21, x=11/14 How do I solve for (y